TSTP Solution File: SWW234+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 14:05:42 EDT 2023
% Result : Theorem 84.28s 12.58s
% Output : Refutation 84.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 86 ( 42 unt; 0 def)
% Number of atoms : 179 ( 40 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 160 ( 67 ~; 49 |; 20 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 111 (; 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294932,plain,
$false,
inference(resolution,[],[f287239,f4092]) ).
fof(f4092,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f1284]) ).
fof(f1284,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X5),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_real__le__refl) ).
fof(f287239,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(backward_demodulation,[],[f281501,f260044]) ).
fof(f260044,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,X0) = X0,
inference(backward_demodulation,[],[f5959,f259936]) ).
fof(f259936,plain,
v_r____ = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(resolution,[],[f259903,f3883]) ).
fof(f3883,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1120]) ).
fof(f1120,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f259903,plain,
( ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| v_r____ = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(resolution,[],[f259900,f4440]) ).
fof(f4440,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
| c_Groups_Ozero__class_Ozero(X1) = X0
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(cnf_transformation,[],[f3502]) ).
fof(f3502,plain,
! [X0,X1] :
( ( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
| c_Groups_Ozero__class_Ozero(X1) = X0 )
& ( c_Groups_Ozero__class_Ozero(X1) != X0
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0)) ) )
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(nnf_transformation,[],[f2487]) ).
fof(f2487,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
<=> c_Groups_Ozero__class_Ozero(X1) != X0 )
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(ennf_transformation,[],[f1567]) ).
fof(f1567,plain,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X0))
<=> c_Groups_Ozero__class_Ozero(X1) != X0 ) ),
inference(rectify,[],[f182]) ).
fof(f182,axiom,
! [X16,X3] :
( class_Groups_Oordered__ab__group__add__abs(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),c_Groups_Oabs__class_Oabs(X3,X16))
<=> c_Groups_Ozero__class_Ozero(X3) != X16 ) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_zero__less__abs__iff) ).
fof(f259900,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),
inference(resolution,[],[f259729,f3885]) ).
fof(f3885,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f1144,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(f259729,plain,
( ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)) ),
inference(forward_demodulation,[],[f259728,f5788]) ).
fof(f5788,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(superposition,[],[f4131,f4078]) ).
fof(f4078,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(cnf_transformation,[],[f649]) ).
fof(f649,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_real__of__nat__zero) ).
fof(f4131,plain,
! [X0] : c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),
inference(cnf_transformation,[],[f1323]) ).
fof(f1323,plain,
! [X0] : c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),
inference(rectify,[],[f646]) ).
fof(f646,axiom,
! [X4] : c_RealDef_Oreal(tc_Nat_Onat,X4) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4)),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_abs__real__of__nat__cancel) ).
fof(f259728,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
| ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f259503,f5940]) ).
fof(f5940,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0),
inference(resolution,[],[f4477,f3948]) ).
fof(f3948,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1157]) ).
fof(f1157,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(f4477,plain,
! [X0,X1] :
( ~ class_Groups_Ogroup__add(X1)
| c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
inference(cnf_transformation,[],[f2514]) ).
fof(f2514,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0)
| ~ class_Groups_Ogroup__add(X1) ),
inference(ennf_transformation,[],[f1591]) ).
fof(f1591,plain,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X13,X3] :
( class_Groups_Ogroup__add(X3)
=> c_Groups_Ozero__class_Ozero(X3) = c_Groups_Ominus__class_Ominus(X3,X13,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_diff__self) ).
fof(f259503,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
| ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[],[f5325,f43564]) ).
fof(f43564,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(forward_demodulation,[],[f43555,f5787]) ).
fof(f5787,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(superposition,[],[f4131,f4076]) ).
fof(f4076,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f655]) ).
fof(f655,axiom,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_real__of__nat__1) ).
fof(f43555,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(resolution,[],[f42530,f7275]) ).
fof(f7275,plain,
! [X2,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2) ),
inference(resolution,[],[f4700,f4655]) ).
fof(f4655,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3550]) ).
fof(f3550,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3549]) ).
fof(f3549,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1738]) ).
fof(f1738,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f156]) ).
fof(f156,axiom,
! [X20,X10] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,X20)
<=> ( X10 != X20
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X20) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_real__less__def) ).
fof(f4700,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3587]) ).
fof(f3587,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ) ),
inference(flattening,[],[f3586]) ).
fof(f3586,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ) ),
inference(nnf_transformation,[],[f1756]) ).
fof(f1756,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ) ),
inference(rectify,[],[f384]) ).
fof(f384,axiom,
! [X24,X10] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10),X24)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X24)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X24),X10) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_abs__le__interval__iff) ).
fof(f42530,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(resolution,[],[f40499,f4082]) ).
fof(f4082,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_h) ).
fof(f40499,plain,
! [X33] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X33,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X33) ),
inference(resolution,[],[f5138,f3852]) ).
fof(f3852,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f1276]) ).
fof(f1276,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1275]) ).
fof(f1275,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[],[f1274]) ).
fof(f1274,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',conj_0) ).
fof(f5138,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(cnf_transformation,[],[f3007]) ).
fof(f3007,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f3006]) ).
fof(f3006,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f2034]) ).
fof(f2034,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X7,X8,X9] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_real__le__trans) ).
fof(f5325,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ class_Rings_Olinordered__idom(X3) ),
inference(cnf_transformation,[],[f3805]) ).
fof(f3805,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) )
& ( ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
& c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(flattening,[],[f3804]) ).
fof(f3804,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) )
& ( ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
& c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(nnf_transformation,[],[f3122]) ).
fof(f3122,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
<=> ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
& c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) ) )
| ~ class_Rings_Olinordered__idom(X3) ),
inference(ennf_transformation,[],[f2135]) ).
fof(f2135,plain,
! [X0,X1,X2,X3] :
( class_Rings_Olinordered__idom(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X2,X1)),X0)
<=> ( c_Orderings_Oord__class_Oless(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
& c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X1,X0),X2) ) ) ),
inference(rectify,[],[f204]) ).
fof(f204,axiom,
! [X24,X16,X10,X3] :
( class_Rings_Olinordered__idom(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Oabs__class_Oabs(X3,c_Groups_Ominus__class_Ominus(X3,X10,X16)),X24)
<=> ( c_Orderings_Oord__class_Oless(X3,X10,c_Groups_Oplus__class_Oplus(X3,X16,X24))
& c_Orderings_Oord__class_Oless(X3,c_Groups_Ominus__class_Ominus(X3,X16,X24),X10) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_abs__diff__less__iff) ).
fof(f5959,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = X0,
inference(resolution,[],[f4491,f3978]) ).
fof(f3978,plain,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1155]) ).
fof(f1155,axiom,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',arity_RealDef__Oreal__Groups_Omonoid__add) ).
fof(f4491,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
inference(cnf_transformation,[],[f2525]) ).
fof(f2525,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0
| ~ class_Groups_Omonoid__add(X1) ),
inference(ennf_transformation,[],[f1602]) ).
fof(f1602,plain,
! [X0,X1] :
( class_Groups_Omonoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X13,X3] :
( class_Groups_Omonoid__add(X3)
=> c_Groups_Oplus__class_Oplus(X3,c_Groups_Ozero__class_Ozero(X3),X13) = X13 ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_add__0__left) ).
fof(f281501,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(forward_demodulation,[],[f280696,f14708]) ).
fof(f14708,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),
inference(resolution,[],[f5068,f4038]) ).
fof(f4038,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1145]) ).
fof(f1145,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f5068,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(cnf_transformation,[],[f2924]) ).
fof(f2924,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f1980]) ).
fof(f1980,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(rectify,[],[f203]) ).
fof(f203,axiom,
! [X17,X13,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> c_Groups_Oplus__class_Oplus(X3,X13,X17) = c_Groups_Oplus__class_Oplus(X3,X17,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.IsYPEouZeQ/Vampire---4.8_26774',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f280696,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____)),
inference(backward_demodulation,[],[f42530,f260032]) ).
fof(f260032,plain,
v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____),
inference(backward_demodulation,[],[f5788,f259936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23 % Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.25 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.26/0.46 % Computer : n006.cluster.edu
% 0.26/0.46 % Model : x86_64 x86_64
% 0.26/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.46 % Memory : 8042.1875MB
% 0.26/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.46 % CPULimit : 300
% 0.26/0.46 % WCLimit : 300
% 0.26/0.46 % DateTime : Wed Aug 30 16:42:06 EDT 2023
% 0.26/0.46 % CPUTime :
% 0.32/0.52 % (26924)Running in auto input_syntax mode. Trying TPTP
% 0.32/0.59 % (26928)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.32/0.59 % (26925)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.32/0.59 % (26927)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.32/0.59 % (26929)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.32/0.59 % (26930)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.32/0.59 % (26931)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.32/0.61 % (26926)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 2.05/0.85 TRYING [1]
% 2.27/0.90 TRYING [2]
% 6.48/1.47 TRYING [3]
% 6.48/1.48 TRYING [1]
% 7.31/1.63 TRYING [2]
% 9.18/1.87 TRYING [1]
% 9.18/1.92 TRYING [2]
% 13.60/2.50 TRYING [3]
% 21.08/3.58 TRYING [3]
% 27.31/4.47 TRYING [4]
% 30.29/4.91 TRYING [4]
% 63.58/9.65 TRYING [4]
% 77.83/11.64 TRYING [5]
% 77.83/11.69 TRYING [5]
% 84.28/12.57 % (26930)First to succeed.
% 84.28/12.58 % (26930)Refutation found. Thanks to Tanya!
% 84.28/12.58 % SZS status Theorem for Vampire---4
% 84.28/12.58 % SZS output start Proof for Vampire---4
% See solution above
% 84.28/12.58 % (26930)------------------------------
% 84.28/12.58 % (26930)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 84.28/12.58 % (26930)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 84.28/12.58 % (26930)Termination reason: Refutation
% 84.28/12.58
% 84.28/12.58 % (26930)Memory used [KB]: 107588
% 84.28/12.58 % (26930)Time elapsed: 11.979 s
% 84.28/12.58 % (26930)------------------------------
% 84.28/12.58 % (26930)------------------------------
% 84.28/12.58 % (26924)Success in time 12.073 s
% 84.28/12.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------